Under RH and simple zeros, the correlations equal -3/π²(1-T^{(c-1)δ(T)}) + sum 1/|ρ ζ'(ρ)|² for μ/M and a similar explicit sum for λ/L.
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Correlations of multiplicative functions with their partial sums
Under RH and simple zeros, the correlations equal -3/π²(1-T^{(c-1)δ(T)}) + sum 1/|ρ ζ'(ρ)|² for μ/M and a similar explicit sum for λ/L.